Question

Let (m_1) and (m_2) be the slopes of two lines. Find the acute angle (in degrees) between the lines.

Answer 1

The acute angle between two lines with slopes m1 and m2 can be found using the formula: angle in degrees = tan^-1((m2 - m1) / (1 + m1 * m2)).

Step-by-step explanation:

The acute angle between two lines with slopes m1 and m2 can be found using the formula:

angle in degrees = tan-1((m2 - m1) / (1 + m1 * m2))

For example, if the slopes of the lines are 2 and -1, the angle between them would be:

angle in degrees = tan-1((-1 - 2) / (1 + 2 * -1)) = tan-1(-3 / -1) = tan-1(3) = 71.57°